If x2 + x = 5, find the value of \({\left( {x + 3} \right)^3} + \frac{1}{{{{\left( {x\; + \;3} \right)}^3}}}\)
1). 110
2). 112
3). 114
4). 116
If θ is an acute angle and tan θ + cot θ = 2, then the value of tan5 θ + cot5 θ is
1). 1
2). 2
3). 3
4). 4
If x + y = 15 then (x - 10)3 + (y - 5)3 is:
1). 0
2). 25
3). 125
4).
625
2/5 of the income of a person is spent over food, 1/3 towards loan. If the remaining amount is Rs. 3, 000 calculate his income.
1). 6, 000
2). 12, 000
3). 10, 000
4). 11, 250
What is the value of \(\frac{1}{{{x^{\left( {p - q} \right)}} + 1}} + \frac{1}{{{x^{\left( {q - p} \right)}}\; + \;1}}?\)
1). 0
2). 1
3). x(p-q)
4). x(p + q)